Apentix/AP Calculus AB/Unit 8: Applications of Integration/Question

AP Calculus ABhardmcq1 pt

What is the area of the region enclosed by the graphs of $x=y^2$ and $x=9$ , computed with respect to $y$ ?

A.

18

B.

72

C.

-36

D.

36

Explanation

Core Concept

The curves meet at $y=\pm3$ . The area is $\int_{-3}^3(9-y^2)\,dy=[9y-\frac{y^3}{3}]_{-3}^3=36$ .

Correct Answer

D $36$

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